Answer all questions please

1. Find the first 6 terms of the sequence. Starting with n = 1. (a) an = 1+ (-1)" (b) a1 = 1, and an = an-1 + n for n > 2 2. Find a formula a, for the geometric sequence whose first term is a, = 3 and Un+1 - = 2. an 3. Find a formula for the general term an for the sequence 4. Find the limit of the following sequences or show the sequence diverges. (a) lim 2n n-+00 n2 + 1 (n - 1)2 (b) lim n-+0o (2n - 1)2 (c) lim Vn n+00 Vn + 1 (d) lim In 2n 1 1-+00 3n + 1 (e) lim 1400 2n 2n2 + 3 (f) lim An